According to CaptainKathryn Janeway, the fact that Starfleet ships were equipped with this technology was taken for granted in the year 2373, while in the year 2293, multiphasic shielding was not yet in use and the technology was still in the early stages of development. (VOY: "Flashback")

In 2376, EnsignTom Paris came into possession of a shuttle, which he named "Alice," equipped with multiphasic shielding. This shielding made it impossible for the Voyager crew to beam Paris off of the shuttle, when use of the ship's neurogenic interface caused him to display irrational and dangerous behavior. (VOY: "Alice")